What is the Least Common Multiple of 99104 and 99109?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99104 and 99109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99104 and 99109, than apply into the LCM equation.

GCF(99104,99109) = 1
LCM(99104,99109) = ( 99104 × 99109) / 1
LCM(99104,99109) = 9822098336 / 1
LCM(99104,99109) = 9822098336

Least Common Multiple (LCM) of 99104 and 99109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99104 and 99109. First we will calculate the prime factors of 99104 and 99109.

Prime Factorization of 99104

Prime Factorization of 99109

Now multiplying the highest exponent prime factors to calculate the LCM of 99104 and 99109.

LCM(99104,99109) = 2⁵ × 19¹ × 163¹ × 99109¹
LCM(99104,99109) = 9822098336